Stat Mech Simulations March 28, 2024 by Charles Dermer Ref: Reif, P. Fundamentals of Statistical and Thermal Physics (McGraw-Hill: New York), 1965 Fig. 1. Formation of Gaussians from weighted binomial distribution for steps to right and left, and net displacement. Fig. 2. Particle distribution evolving in time. Fig. 3. Same as Fig. 2, but with different parameters. Fig. 4. Evolving particle distribution in presence of an absorbing boundary. Fig. 5. Evolution a a particle distribution in the presence of reflecting boundaries at -20 and +20 (error in label).. Fig. 6. Evolution of particle distribution with reflecting boundaries and different step probabilities to the left and right. Fig. 7. Comparison of Gaussian and analytic approximations to a simulation with continuous injection. The continuous injection is renormalized to the same number of particles as in the evolving Gaussian. Fig. 8. Evolution of a particle distribution with continuous injection, absorbing and reflecting boundaries, and step probabilities as noted. Gaussian and continuous injection approximations in the absence of boundaries are shown for comparison. The distributions are normalized to unity. Fig. 9. Same as Fig. 8, but with logarithmic time spacing. Renormalized to unity. Fig. 10. Same as Fig. 8, but plotted on a logarithmic scale, now with absolute numbers of particles.